We consider the problem of automatically verifying that a parameterized family of probabilistic concurrent systems terminates with probability one for all instances against adversarial schedulers. A parameterized family defines an infinite-state system: for each number n, the family consists of an instance with n finite-state processes. In contrast to safety, the parameterized verification of l...

Abstract Established reduced‐order modeling (ROM) methods, for instance, Galerkin‐projection, approximate the solution by linearly projecting high‐dimensional spaces to a lower‐dimensional space spanned reduced basis. However, accuracy of these methods may be insufficient complex and multiscale simulations due restriction linear space. Alternatively, autoencoders (AEs) can used nonlinear dimens...

We consider the problem of automatically verifying that a parameterized family of probabilistic concurrent systems terminates with probability one for all instances against adversarial schedulers. A parameterized family defines an infinite-state system: for each number n, the family consists of an instance with n finite-state processes. In contrast to safety, the parameterized verification of l...

We introduce parameterized rewrite systems for describing infinite families of finite string rewrite systems depending upon non-negative integer parameters, as well as ways to reason uniformly over these families. Unlike previous work, the vocabulary on which a rewrite system in the family is built depends itself on the integer parameters. Rewriting makes use of a toolkit for parameterized word...

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both dynamics and input effectiveness of class hierarchical nonlinear systems which high-level is nonlinearly coupled with multi-agent low-level dynamics. The has multiplicative subjected exogenous disturbance input. On other hand, system actuator faults causing time-varying dynamical mod...

A new approach is proposed for finding all –feasible solutions for certain classes of nonlinearly constrained systems of equations. By introducing slack variables, the initial problem is transformed into a global optimization problem (P) whose multiple global minimum solutionswith a zero objective value (if any)correspond to all solutionsof the initial constrained system of equalities. All –glo...

We consider a class of PT -symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of PT -invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system in the form of a dimer, symmetric and asymmetric eigenstates, including multistable ones, are found analytically. We demonstrate that, if coupled to a line...

The nominal linear subsystem state-space model having nonlinear couplings are used in this work. The quadratic dissipativity constraint approach, previously introduced and developed for the model predictive control of interconnected systems, is deployed herein with a static state-feedback strategy. We re-use the derivation for a quadratic bound on the nonlinear coupling in a newly derived stabi...