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Stochastic Hybrid Systems (SHS) blend continuous and discrete dynamics, relevant to communication, vehicle control, finance, and tracking. Our research focuses on state estimation for linear and non-linear SHS, emphasizing solutions for missing measurements. Historically, SHS state estimation leaned towards deterministic models, overlooking issues like measurement loss. Researchers now explore probabilistic and guard condition-based state transitions. For example, in flying objects, SHS captures discrete flight modes and continuous dynamics. We introduce the Data Loss Detection Kalman Filter...

There is a strong need for new excipient in the market to modulate flow property, compressibility, solubility, disintegration, stability, dissolution or bioavailability of drug molecule. Developing a new adjuvant is uneconomical and laborious from the standpoint of safety and regulatory clearances. Hence, the formulation scientists are constantly working on modification of existing excipients to meet the ever-changing demands of industry. Co-processed excipients are combinations of two or more excipients that possess performance advantages that cannot be achieved using a physical admixture of...