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Dynamic stability. --- Wind tunnel tests. --- Stability tests. --- Atmospheric entry. --- Space capsules. --- Landing modules. --- Aerodynamics. --- Subsonic speed.

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The Special Issue “Game Theory” of the journal Mathematics provides a collection of papers that represent modern trends in mathematical game theory and its applications. The works address the problem of constructing and implementation of solution concepts based on classical optimality principles in different classes of games. In the case of non-cooperative behavior of players, the Nash equilibrium as a basic optimality principle is considered in both static and dynamic game settings. In the case of cooperative behavior of players, the situation is more complicated. As is seen from presented papers, the direct use of cooperative optimality principles in dynamic and differential games may bring time or subgame inconsistency of a solution which makes the cooperative schemes unsustainable. The notion of time or subgame consistency is crucial to the success of cooperation in a dynamic framework. In the works devoted to dynamic or differential games, this problem is analyzed and the special regularization procedures proposed to achieve time or subgame consistency of cooperative solutions. Among others, special attention in the presented book is paid to the construction of characteristic functions which determine the power of coalitions in games. The book contains many multi-disciplinary works applied to economic and environmental applications in a coherent manner.

Research & information: general --- Mathematics & science --- pursuit --- control functions --- integral constraints --- strategies --- value of the game --- decision-making --- game theory --- project management --- differential games --- cooperative differential games --- Time Consistency --- IDP-core --- IDP dominance --- two-sided platform market --- pricing --- Hotelling’s duopoly on the plane --- Nash equilibrium --- optimal location of platforms --- prescribed duration --- characteristic function --- environmental resource management --- pollution control --- discrete-time games --- cooperation --- the core --- linear transformation --- time consistency --- multistage game --- chance moves --- subgame perfect equilibria --- cooperative trajectory --- imputation distribution procedure --- random time horizon --- time until failure --- discounted equilibrium --- weibull distribution --- chen distribution --- equivalence principle --- cooperative game --- satisfaction criteria --- proportional value --- axiomatization --- cooperative stochastic game --- strong subgame consistency --- core --- dynamic games --- multicriteria games --- Nash bargaining solution --- dynamic stability --- rational behavior conditions --- Shapley-Solidarity value --- coalition structure --- potential --- bidding mechanism

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The climate changes that are becoming visible today are a challenge for the global research community. In this context, renewable energy sources, fuel cell systems and other energy generating sources must be optimally combined and connected to the grid system using advanced energy transaction methods. As this reprint presents the latest solutions in the implementation of fuel cell and renewable energy in mobile and stationary applications such as hybrid and microgrid power systems based on the Energy Internet, blockchain technology and smart contracts, we hope that they will be of interest to readers working in the related fields mentioned above.

Research & information: general --- Physics --- constant power load --- microgrid --- dynamic stability --- optimization --- PLL --- power-sharing control --- solid oxide fuel cell --- parameter identification --- backstepping control --- event-triggered control --- Lyapunov stability theorem --- networked control system --- nonlinear system --- autonomous driving vehicles --- vehicular communication --- intelligent driver model --- data-driven control model --- 3PL logistics --- decision making --- ARAS --- entropy --- CRITIC --- maximum power point tracking --- photovoltaic system --- partial shading conditions --- surface-based polynomial fitting --- Differential Evolution --- metaheuristic algorithms --- DC–DC converter --- islanding detection --- local islanding --- remote islanding --- signal processing --- hybrid microgrids --- renewable energies --- energy management --- electricity system --- vibration control --- dynamic vibration absorbers --- aerial vehicles --- quadrotor --- motion tracking control --- autonomous power system --- generating power consumer --- hydroelectric power plant --- optimal power consumption --- wind power plant --- solar photovoltaic power plant --- energy storage --- microgrids --- university campus --- battery energy storage --- renewable energy --- simulation --- optimal behavioral modeling --- automotive --- low-dropout linear voltage regulator --- power supply rejection ratio

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The climate changes that are becoming visible today are a challenge for the global research community. In this context, renewable energy sources, fuel cell systems and other energy generating sources must be optimally combined and connected to the grid system using advanced energy transaction methods. As this reprint presents the latest solutions in the implementation of fuel cell and renewable energy in mobile and stationary applications such as hybrid and microgrid power systems based on the Energy Internet, blockchain technology and smart contracts, we hope that they will be of interest to readers working in the related fields mentioned above.

Research & information: general --- Physics --- constant power load --- microgrid --- dynamic stability --- optimization --- PLL --- power-sharing control --- solid oxide fuel cell --- parameter identification --- backstepping control --- event-triggered control --- Lyapunov stability theorem --- networked control system --- nonlinear system --- autonomous driving vehicles --- vehicular communication --- intelligent driver model --- data-driven control model --- 3PL logistics --- decision making --- ARAS --- entropy --- CRITIC --- maximum power point tracking --- photovoltaic system --- partial shading conditions --- surface-based polynomial fitting --- Differential Evolution --- metaheuristic algorithms --- DC–DC converter --- islanding detection --- local islanding --- remote islanding --- signal processing --- hybrid microgrids --- renewable energies --- energy management --- electricity system --- vibration control --- dynamic vibration absorbers --- aerial vehicles --- quadrotor --- motion tracking control --- autonomous power system --- generating power consumer --- hydroelectric power plant --- optimal power consumption --- wind power plant --- solar photovoltaic power plant --- energy storage --- microgrids --- university campus --- battery energy storage --- renewable energy --- simulation --- optimal behavioral modeling --- automotive --- low-dropout linear voltage regulator --- power supply rejection ratio

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The broad use of composite materials and shell structural members with complex geometries in technologies related to various branches of engineering has gained increased attention from scientists and engineers for the development of even more refined approaches and investigation of their mechanical behavior. It is well known that composite materials are able to provide higher values of strength stiffness, and thermal properties, together with conferring reduced weight, which can affect the mechanical behavior of beams, plates, and shells, in terms of static response, vibrations, and buckling loads. At the same time, enhanced structures made of composite materials can feature internal length scales and non-local behaviors, with great sensitivity to different staking sequences, ply orientations, agglomeration of nanoparticles, volume fractions of constituents, and porosity levels, among others. In addition to fiber-reinforced composites and laminates, increased attention has been paid in literature to the study of innovative components such as functionally graded materials (FGMs), carbon nanotubes (CNTs), graphene nanoplatelets, and smart constituents. Some examples of smart applications involve large stroke smart actuators, piezoelectric sensors, shape memory alloys, magnetostrictive and electrostrictive materials, as well as auxetic components and angle-tow laminates. These constituents can be included in the lamination schemes of smart structures to control and monitor the vibrational behavior or the static deflection of several composites. The development of advanced theoretical and computational models for composite materials and structures is a subject of active research and this is explored here for different complex systems, including their static, dynamic, and buckling responses; fracture mechanics at different scales; the adhesion, cohesion, and delamination of materials and interfaces.

Technology: general issues --- dynamic stability --- elastomeric foundation --- Eringen’s differential constitutive model --- graphene sheet --- temperature-dependent properties --- basement bottom reinforcement --- reinforcement depth --- Young’s modulus of reinforced soil --- tunnel heave --- numerical analysis --- epistemic uncertainty --- evidence theory --- robust optimization --- sensor design --- near-field earthquake --- fling-step --- far-field --- simultaneous excitation --- special moment frame (SMF) --- advanced model --- precise prediction --- circular foundation pit --- tunnel deformation --- composite --- stochastic --- natural frequency --- uncertainty --- metro constructions --- shield tunnel --- ground settlement --- soil displacement --- analytical --- Mindlin solution --- EELS --- plasmons vibrational modes --- nanoparticles --- nonlocal and size-dependent dielectric --- nanoparticle suspension --- Brownian motion --- spectral thermal pulsing --- DEM simulations --- Nano-device applications --- stratum movements --- mirror source–sink method --- centrifuge modelling test --- transport --- palletized goods --- damage --- bottle --- buckling --- Polyethylene terephthalate (PET) --- n/a --- Eringen's differential constitutive model --- Young's modulus of reinforced soil --- mirror source-sink method